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Cai goes to a store and buys an item that costs 
x dollars. He has a coupon for 
10% off, and then a 
5% tax is added to the discounted price. Write an expression in terms of 
x that represents the total amount that Cai paid at the register.
Answer:

Cai goes to a store and buys an item that costs x x dollars. He has a coupon for 10% 10 \% off, and then a 5% 5 \% tax is added to the discounted price. Write an expression in terms of x x that represents the total amount that Cai paid at the register.\newlineAnswer:

Full solution

Q. Cai goes to a store and buys an item that costs x x dollars. He has a coupon for 10% 10 \% off, and then a 5% 5 \% tax is added to the discounted price. Write an expression in terms of x x that represents the total amount that Cai paid at the register.\newlineAnswer:
  1. Calculate Discount Amount: Calculate the discount amount.\newlineTo find the discount, multiply the original price xx by the discount rate (10%10\% or 0.100.10).\newlineDiscount = x×0.10x \times 0.10
  2. Subtract Discount from Original Price: Subtract the discount from the original price to get the discounted price.\newlineDiscounted price = x(x×0.10)x - (x \times 0.10)\newlineSimplify the expression.\newlineDiscounted price = x0.10xx - 0.10x\newlineDiscounted price = 0.90x0.90x
  3. Calculate Tax Amount: Calculate the tax amount on the discounted price.\newlineTo find the tax, multiply the discounted price by the tax rate (5%5\% or 0.050.05).\newlineTax =0.90x×0.05= 0.90x \times 0.05
  4. Add Tax to Discounted Price: Add the tax to the discounted price to get the total amount paid.\newlineTotal amount paid == Discounted price ++ Tax\newlineTotal amount paid =0.90x+(0.90x×0.05)= 0.90x + (0.90x \times 0.05)\newlineSimplify the expression.\newlineTotal amount paid =0.90x+0.045x= 0.90x + 0.045x\newlineTotal amount paid =0.945x= 0.945x

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